2a + b = 3 and a - 3b = 5

Answers

Answer 1

Answer:

a= 2 b=-1

Step-by-step explanation:

a-3b=5

or, a= 5+3b_(i)

substituting value of a in 2a+b=3,

2×(5+3b)+b=3

or, 10+6b+b=3

or, 7b=3-10

or, 7b=-7

b= -1

substituting value of b in(i),

a=5+3b

=5+3×(-1)

=5-3

=2


Related Questions

What is 9 divided by 1504

Answers

Answer:

9 ÷ 1504 = 0 R 9

0.00598404255

Step-by-step explanation:

Shown above is remainder form and decimal form...

If the average of L numbers is m. What is the sum of these numbers?
Hint: Think of the equation for average
A) L+ m
B) Lm
C) L-m
D) L/m
E) m-L

Answers

Answer:

Lm

Step-by-step explanation:

average = (sum of numbers)/(number of numbers)

Solve the equation for "sum of numbers":

sum of numbers = average * number of numbers

sum of numbers = m * L

sum of numbers = Lm

Answer: B) Lm

what is the answer of 6.93 − 4.07

Answers

Answer:

2.86

Step-by-step explanation:

mark brainliest

Answer:

2.86

Step-by-step explanation:

put 6.93 on top and 4.07 under it.The u subtract each number from the one under(3-7,9-0,2-4) nd then to check ya work reverse the operation and use the answer nd the smaller number to get the bigger number

find the ratio of the following 25paise to 50 paise​

Answers

Answer:

1 : 2

Step-by-step explanation:

The ratio of the 2 quantities is

25 : 50 ← divide both parts by 25

= 1 : 2 ← in simplest form

Answer:

25:50

5: 10

1:2

hope that will help

Plzzzz help me asap WILL GIVE BRAINLIEST

Answers

the answer will be d i believe
i think its D sorry if it’s wrong

Write an absolute value equation for the following situation: A 16-ounce bottle of Diet Coke with a tolerated
variance of 0.09 oz. in either direction.

Answers

Answer:

the answer is :A

Step-by-step explanation:

because i had did it and got it right

- 3x – 8 + 4x = 17
Please help

Answers

Answer:

x=25

Step-by-step explanation:

Combine like terms which would make it

x-8=17

Move over the 8 by adding it to each side

x=17+8

And then add them together

x=25

The answer is x=25 because if you combine the terms and move over the 8, then complete and you get x=25.

Which of the following is an example of an adaptation? (5 points) A story presented as a play A movie review A story presented in its original form A literary analysis

Answers

Answer:

A story presented as a Play

Step-by-step explanation:

They are adapting a story to a play. They are changing the story to a play and they are getting used to the play so this means it is adapting. Therefore the answer is A story presented as a play.

Answer:

A story presented as a play

What is the midpoint between (3, -1) and (7, -5)?
Group of answer choices

Answers

Answer:

The answer is

( 5 , - 3)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3, -1) and (7, -5)

The midpoint is

[tex]M = ( \frac{3 + 7}{2} , \: \frac{ - 1 - 5}{2} ) \\ = ( \frac{10}{2} \: , \: - \frac{6}{2} )[/tex]

We have the final answer as

( 5 , - 3)

Hope this helps you

An artist has 8 gallon-sized buckets of paint. The artist uses the paint from the buckets to fill pint-sized cans. What is the greatest number of cans the artist can fill using the paint from the buckets?

Answers

Answer:

They would need 64 cans

Step-by-step explanation:

There are 8 pints in a gallon, meaning 8 multiplied by 8 gives you 64

Angel bought a plant and planted it in a pot near a window in his house. The plant grew at a rate of 3 inches per month and its height at the time of purchase was 15 inches. Write an equation for H, in terms of t, representing the height, in inches, of the plant tt months after Angel bought the plant.

Answers

t = # of months

H = total height

H = 15 + 3t

Answer:

t = # of months

H = total height

H = 15 + 3t

Step-by-step explanation:

A mixture of green paint contains 10 cups of blue paint and 15 cups of yellow paint. To make the same shade of green paint using 90 cups of blue paint, how many cups of yellow paint would you need?

Answers

Answer:

135 cups of yellow paint

Step-by-step explanation:

I made a table and the way i did that was

i made two columns one titled blue and the other yellow

then i plugged the numbers in 10 over 15 then 90 over x

i then did 10 times 9 to get 90

so the final step was to multipy 15 by 9 to get 135

A bakery sold a total of 500 cupcakes in a day, and 5% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?

Answers

500cakes is 100%
x cakes is 5%

500 x 5 = 2500
2500/100 = 25

There was 25 vanilla cupcakes
there were 25 cupcakes

# - A circle has an area of approximately

201.06 cm². If the radius is doubled, what is the

approximate area of the new circle? Show your

work below.

Answers

Answer:

The area of the new circle is 804.57 cm^2

Step-by-step explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2

Help please I need an answer thank u

Answers

Answer:

A

Step-by-step explanation:

Simplify -7 + [5 + (-12) / 3]

Answers

Answer: -6

Step-by-Step:

-7 + [5 + (-12) / 3]
=−7+5+−4
=−7+1
=−6

please give thanks! and brainliest<3

Given g(x) = -x - 5, find g(1).

Answers

Answer:

-6

Step-by-step explanation:

g(1) would be equal to g(1) = -(1) - 5 = -6

So, the answer would be -6.

The value of g(1) is -6.

Given,

g(x) = -x - 5

We need to find g(1).

What is the domain and range of a function?

A function is given by f(x).

The value of x is called the domain.

The output we get after putting the domain x in the function is called the range.

Example:

f(x) = x + 2

x = 1

f(1) = 1 + 2 = 3

domain = 1

range = 3

Find g(x) at x = 1.

g(x) = -x - 5

Put x = 1

g(1) = -1 - 5

     = -6

g(1) = -6 is our answer.

Thus the value of g(1) is -6.

Learn more about finding the value of a function at a point here:

https://brainly.com/question/16965696?referrer=searchResults

#SPJ2

Hi,
Make y the subject of the formula x = a-2byx^{2}

Answers

Answer:

Step-by-step explanation:

x = a - 2byx²

x - a = -2byx²

[tex]-2byx^{2}= x- a\\\\ y = \frac{x-a}{-2bx^{2}}\\\\ y =\frac{-(x-a)}{2bx^{2}}\\\\y=\frac{ -x + a}{2bx^{2}}\\\\y=\frac{ a -x }{2bx^{2}}\\[/tex]

Which sign makes the statement true?
5 1 / 2 ? 7 3/20

Answers

Answer:

a. 6 and 15

b. 4 and 11

c. 6, 9, and 12

d. 8, 10, and 20

2.What’s the least common denominator (LCD) for each group of fractions?

a. 1⁄6 and 7⁄8

b. 3⁄4 and 7⁄10

c. 7⁄12, 3⁄8 and 11⁄36

d. 8⁄15, 11⁄30 and 3⁄5

3.Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true.

a. 18/36 _____ 1/2

b. 13/15 _____ 7/10

c. 3/5 _____ 5/9

d. 3/8 _____ 10/16

4.On a hot summer day, John drank 5⁄11 of a quart of iced tea; Gary drank 7⁄10 of a quart; and Carter drank 3⁄5 of a quart. Which man was the most thirsty?

5.What’s the largest fraction in each group?

a. 5⁄6 and 29⁄36

b. 5⁄12 and 3⁄8

c. 2⁄5 and 19⁄45

d. 5⁄7, 13⁄14, and 19⁄21

e. 7⁄11 and 9⁄121

f. 1⁄2, 3⁄18, and 4⁄9

6.Reduce each of the following fractions to its simplest form.

a. 12⁄18

b. 48⁄54

c. 27⁄90

d. 63⁄77

e. 24⁄32

f. 73⁄365

7.What is the next fraction in each of the following patterns?

a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .?

b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .?

c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .?

8.In each pair, tell if the fractions are equal by using cross multiplication.

a. 5⁄30 and 1⁄6

b. 4⁄12 and 21⁄60

c. 17⁄34 and 41⁄82

d. 6⁄9 and 25⁄36

9.This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the two players have the same batting average?

10.On a test with 80 questions, Bob got 60 correct. On another test with 100 questions, he got 75 correct. Did Bob get the same score on both tests?

11.Find the missing numerators in each of the following problems.

a. 10⁄15 = ⁄60

b. ⁄108 = 4⁄9

c. 7⁄11 = ⁄121

d. ⁄144 = 2⁄6

12.This handy application of LCMs is used by astronomers.

All the planets in our solar system revolve around the sun. The planets occasionally line up together in their journeys, as shown in the illustration. The chart shows the time it takes each planet to make one trip around the sun.

Now, imagine that the planets Earth, Mars, Jupiter, Saturn, Uranus, and Neptune aligned last night. How many years will pass before this happens again? (Hint—Find the LCM of the planets’ revolution times.)

Solar System

Planet Revolution Time

Earth 1 year

Mars 2 years

Jupiter 12 years

Saturn 30 years

Uranus 84 years

Neptune 165 years

Step-by-step explanation:

1.

a. 30

b. 44

c. 36

d. 40

2. I don't really remember how to do these but if you cant make the denominator smaller then I belive it's

a. 24

b. 20

c. 4

d. 5

3.

a. =

b. not =

c. not =

d. not =

4. Gary

5.

a. 5/6

b. 5/12

c. 19/45

d. 13/14

e. 7/11

f. 1/2

6.

a. 2/3

b. 8/9

c. 3/10

d. 9/11

e. 3/4

f. 1/5

7.

a. 36/40

b.

c.

8.

a. yes

b. no

c. no

d. no

9. no

10. yes

11.

a. 40

b. 48

c. 77

d. 48

12. 4,620

The number of boxes of food that six volunteers collected for the food drive is given in the table below.

Number of Boxes
32
35
20
16
28
13


What is the mean absolute deviation? Round to the nearest tenth.

Answers

Answer:

The mean absolute value is 7.7, when rounded to the nearest tenth.

Step-by-step explanation:

1.) To get the mean absolute deviation you have to find the mean first:

32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24

2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:

32 - 24 = | 8 | → 835 - 24 = | 11 | → 1120 - 24 = | -4 | → 416 - 24 = | -8 | → 828 - 24 = | 4 | → 413 - 24 = | -11 | → 11

3.) Then, you have to find the mean of the absolute values:

8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667‬ = 7.7

Answer:

its 7.7

Step-by-step explanation:

i got it right in edg

I don't understand how this works, help

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ So when we see [tex]x^{2}[/tex], these are powers or exponents.

  ✧ We solve them like this:

[tex]7^{2}= 7*7[/tex][tex]7*7=49[/tex]

✦ So the answers would be:

[tex]5^{2}=25[/tex][tex](-16)^{-2} =-0.00390625[/tex][tex]\frac{1}{8^{2} }=0.015625[/tex]

~Hope this helps Mate. If you need anything feel free to message me.

The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below. StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Answers

Answer: Addition Property of Equality

Step-by-step explanation:

Answer:

Addition Property of Equality

Step-by-step explanation:

What is the method of finding x in this problem?

Answers

Answer:

these are supplementary angles

value of X=14

Step-by-step explanation:

since they are supplementary you can set them equal to 180

13x-2=180

13x=182

x=14

77divided by 43659 with prosess

Answers

Hey there!

[tex]Answer:\boxed{0.001764}[/tex]

[tex]Explanation:[/tex]

[tex]77/43659[/tex]

Simplify by dividing.

0.001764

Hope this helps!

Will mark you brainliest

Answers

Answer:

its f

Step-by-step explanation:

the answer to your question would be F

what is 31 - 260?????????????​

Answers

Answer:

229

hope this helped

please give brainlist

The following expression is an example of which property of real numbers?
(-2) + 7 = 7 + (-2)
additive identity
commutative property
multiplicative property
associative property

Answers

Answer: Commutative Property

Step-by-step explanation:

(-2) + 7 = 7 + (-2)

5 = 5

Simplify by using the distributive property​

Answers

Answer:

Distributive property: [tex]a(b+c)=ab+ac[/tex]

10) [tex]4\left(2x+8\right)=4*2x+4*8=8x+32[/tex]

13)[tex]-5\left(2m+4\right)=-5*2m+(-5)*4=-10m-20[/tex]

16) [tex]5(12+3b)=5*12+5*3b=60+15b[/tex]

7.) Dafne gave away 3 more than half
of her apples. She gave away 17
apples in all. How many apples did
Dafne have originally?

Answers

Answer:28

Step-by-step explanation: 17-3 = 14 and 14 is half of 28.

Answer:

Dafne originally had 28 apples.

Step-by-step explanation:

Dafne gave away 3 more than half of her apples, and she gave away 17 apples.

So the first step would be to find half of the original number of apples:

17-3=14

Now all we have to do is multiply by two:

14x2=28

Multiple Choice What is the sum of five-sixths + start fraction 2 over 3 end fraction? A. one and one-third B. One and one half C. 1 and two-thirds D. The fraction states 1 and 3 fourths.

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3} \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}[/tex]

[tex]=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2} \\\\=1+\frac{1}{2}[/tex]

B.One and one half

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